Volume 9, issue 1 (2009)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 17
Issue 6, 3213–3852
Issue 5, 2565–3212
Issue 4, 1917–2564
Issue 3, 1283–1916
Issue 2, 645–1281
Issue 1, 1–643

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Graphs of subgroups of free groups

Larsen Louder and D B McReynolds

Algebraic & Geometric Topology 9 (2009) 327–335
Abstract

We construct an efficient model for graphs of finitely generated subgroups of free groups. Using this we give a very short proof of Dicks’s reformulation of the strengthened Hanna Neumann Conjecture as the Amalgamated Graph Conjecture. In addition, we answer a question of Culler and Shalen on ranks of intersections in free groups. The latter has also been done independently by R P Kent IV.

Keywords
folding, free groups, Hanna Neumann conjecture
Mathematical Subject Classification 2000
Primary: 20E05
References
Publication
Received: 27 August 2008
Revised: 25 January 2009
Accepted: 28 January 2009
Published: 23 February 2009
Authors
Larsen Louder
Department of Mathematics
University of Michigan
Ann Arbor, MI 48109-1043
USA
http://www.math.lsa.umich.edu/~llouder/
D B McReynolds
Department of Mathematics
University of Chicago
Chicago, IL 60637
USA
http://www.math.uchicago.edu/~dmcreyn/